LpLq Off-diagonal estimates for the Ornstein-Uhlenbeck semigroup
Some positive and negative results
Journal Article
(2017)
Author(s)
Alex Amenta (TU Delft - Analysis)
J.J.B. Teuwen (Nederlands Kanker Instituut - Antoni van Leeuwenhoek ziekenhuis, TU Delft - ImPhys/Optics)
Research Group
Analysis
DOI related publication
https://doi.org/10.1017/S0004972716001386
To reference this document use:
https://resolver.tudelft.nl/uuid:0895b885-b912-4779-a5bd-aada66a86971
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Publication Year
2017
Language
English
Research Group
Analysis
Issue number
1
Volume number
96
Pages (from-to)
154-161
Abstract
We investigate Lp(γ)-Lq(γ) off-diagonal estimates for the Ornstein-Uhlenbeck semigroup (etL)t>0. For sufficiently large t (quantified in terms of p and q), these estimates hold in an unrestricted sense, while, for sufficiently small t, they fail when restricted to maximal admissible balls and sufficiently small annuli. Our counterexample uses Mehler kernel estimates.
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